Atkin-Lehner |
3- 11- 19+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
33231h |
Isogeny class |
Conductor |
33231 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
92736 |
Modular degree for the optimal curve |
Δ |
15033447158829 = 3 · 116 · 19 · 533 |
Discriminant |
Eigenvalues |
1 3- 1 3 11- -6 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-33653,2366015] |
[a1,a2,a3,a4,a6] |
Generators |
[790:327:8] |
Generators of the group modulo torsion |
j |
4214795594941721161/15033447158829 |
j-invariant |
L |
9.542836313478 |
L(r)(E,1)/r! |
Ω |
0.70371473613886 |
Real period |
R |
2.2601100094047 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99693c1 |
Quadratic twists by: -3 |